Determine the final temperature of the system? 110 points My Notes Ask Your Teac

Question

Determine the final temperature of the system? 110 points My Notes Ask Your Teach A 40-g block of ice is cooled to -70°c and is then added to 560 g of water in an 80-g co the system consisting of the ice, water, and calorimeter. (If n then continue warming as of ice is cooled to -70°C and is then added to 560 g of water in an 80-g copper calorimeter at a temperature of 27°C. Determine the final temperature of ot all the ice melts, determine how much ice is left,) Remember that the ice must first warm to o°c, melt, and t water. (The specific heat of ice is 0.500 cal g·°C-2.090 1 kg·°C) eC Noed Help? ehTeer

Explanation / Answer

heat gain by ice = hat lose by water and calorimeter

first ice goes to -70 to 0 degree then phase change and convert into water

mice * c_ice * ( 0-70) + mice*Lf + mice*c_water(Tf -0) = mwater*cwater (27-Tf) + mcal*cal(27-Tf)

cw = 1cal/g

c_Cal = 0.0924 cal/gm

40*0.5*70 + 40 * 80 + 40 * 1 * Tf = 560 *1 (27-Tf) + 80 * 0.0924(27-Tf)

4600 + 40Tf = 15120 - 560Tf + 199.584 - 7.392 Tf

Tf = 17.65 oC

part b )

at equilibrium

mice*c_ice *70 + x*Lf = (mw*cw + mc*cc)*27

x =173 means all ice is melt

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